Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄×C₂₀

Direct product G=N×Q with N=C₄ and Q=C₄×C₂₀

		d	ρ	Label	ID
C₄²×C₂₀		320		C4^2xC20	320,875

Semidirect products G=N:Q with N=C₄ and Q=C₄×C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₄×C₂₀) = C₄⋊C₄×C₂₀	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	320		C4:(C4xC20)	320,879

Non-split extensions G=N.Q with N=C₄ and Q=C₄×C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₄×C₂₀) = C₅×C₄²⋊₆C₄	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	80		C4.1(C4xC20)	320,144
C₄.₂(C₄×C₂₀) = C₅×C₂².₄Q₁₆	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	320		C4.2(C4xC20)	320,145
C₄.₃(C₄×C₂₀) = C₅×C₄.C₄²	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	160		C4.3(C4xC20)	320,146
C₄.₄(C₄×C₂₀) = M₄(2)×C₂₀	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	160		C4.4(C4xC20)	320,905
C₄.₅(C₄×C₂₀) = C₅×C₈○₂M₄(2)	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	160		C4.5(C4xC20)	320,906
C₄.₆(C₄×C₂₀) = C₅×C₁₆⋊₅C₄	central extension (φ=1)	320		C4.6(C4xC20)	320,151
C₄.₇(C₄×C₂₀) = C₅×C₄²⋊₄C₄	central extension (φ=1)	320		C4.7(C4xC20)	320,877
C₄.₈(C₄×C₂₀) = C₁₀×C₈⋊C₄	central extension (φ=1)	320		C4.8(C4xC20)	320,904
C₄.₉(C₄×C₂₀) = C₅×C₄.₉C₄²	central stem extension (φ=1)	80	4	C4.9(C4xC20)	320,142
C₄.₁₀(C₄×C₂₀) = C₅×C₄.₁₀C₄²	central stem extension (φ=1)	80	4	C4.10(C4xC20)	320,143
C₄.₁₁(C₄×C₂₀) = C₅×C₁₆⋊C₄	central stem extension (φ=1)	80	4	C4.11(C4xC20)	320,152

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